We divide 39114 by 51
We're looking to find how many times 51 goes into 39114.

Going ahead to step 1:
If we divide 3 by 51, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (9) from the dividend after 3, then repeat: 39 / 51

Moving on to step 2:
51 goes into 39 0 times with a remainder of 39.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 39 after subtracting 0 from 39.
Append the next digit (1) from the dividend to 39 and continue with: 391 / 51

Step 3:
The number 51 fits into 391 7 times, leaving a remainder of 34.
Write down 7 as next digit of the result. 
Result so far: 7.0
Deduct 357 from 391 and we're left with 34.
Append the next digit (1) from the dividend to 34 and continue with: 341 / 51

Going ahead to step 4:
341 divided by 51 is 6 with a remainder of 35.
The next digit of our result is 6. 
Result so far: 76.0
If we take 306 away from 341, we end up with 35.
Fetch the next digit (4) from the dividend, attach it to 35 and continue: 354 / 51

On to step 5:
If we divide 354 by 51, we get 6 and a remainder of 48.
Record the quotient 6 as the next digit in the result. 
Result so far: 766.0
The remainder is 48 after subtracting 306 from 354.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 6:
If we divide 480 by 51, we get 9 and a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 766.9
If we subtract 459 from 480, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 7:
210 divided by 51 is 4 with a remainder of 6.
The next digit of our result is 4. 
Result so far: 766.94
Subtracting 204 from 210 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 8:
60 divided by 51 is 1 with a remainder of 9.
The next digit of our result is 1. 
Result so far: 766.941
Subtracting 51 from 60 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 9:
The number 51 fits into 90 1 times, leaving a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 766.9411
Subtract 51 from 90 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Our division results in 766.9411 with a remaining 0.00039.